48 citations · 232 across the 26 of their papers we have counts for
27 papers
Symmetry Classification of Scalar th Order Ordinary Differential Equations
Said Waqas Shah, F. M. Mahomed, H. Azad
We complete the Lie symmetry classification of scalar nth order, , ordinary differential equations by means of the symmetry Lie algebras they admit. It is known that ther…
Ideals and conjugacy classes in solvable Lie algebras
Sajid Ali, Hassan Azad, Indranil Biswas +1
A constructive procedure is given to determine all ideals of a solvable Lie algebra. This is used in determining algorithmically all conjugacy classes of subalgebras of a given sol…
On Lie's classification of subalgebras of vector fields on the plane
Hassan Azad, Indranil Biswas, Fazal M. Mahomed +1
A brief proof of Lie's classification of solvable algebras of vector fields on the plane is given. The proof uses basic representation theory and PDEs.
On Computing Linearizing Coordinates From Symmetry Algebra
Sajid Ali, Hassan Azad, Said Waqas Shah +1
A characterization of the symmetry algebra of the th order ordinary differential equations (ODEs) with maximal symmetry and all third order linearizable ODEs is given. This is u…
Linearization of third-order ordinary differential equations u'''=f(x,u,u',u'') via point transformations
Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed +1
The linearization problem by use of the Cartan equivalence method for scalar third-order ODEs via point transformations was solved partially in [1,2]. In order to solve this proble…
Invariant characterization of third-order ODEs that admit a five-dimensional point symmetry Lie algebra
Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed
The Cartan equivalence method is applied to provide an invariant characterization of the third-order ordinary differential equation which admits a five-dimensi…